Directions: Use what you have learned in this course to answer the following questions. Justify your responses completely. Each question is worth 5 points.

1. Solve for n: –6(n – 8) = 4(12 – 5n) + 14n.

2. For f(x) = 2|x+3| – 5, name the type of function and describe each of the three transformations from the parent function f(x) = |x|.

3. Determine whether f(x) = –5 – 10x + 6 has a maximum or a minimum value. Find that value and explain how you know.

4. The median weekly earnings for American workers in 1990 was $412 and in 1999 it was $549. Calculate the average rate of change between 1990 and 1999.

5. Find the roots of the parabola given by the following equation.

2×2+ 5x – 9 = 2x

6. Describe the end behavior and determine whether the graph represents an odd-degree or an even-degree polynomial function. Then state the number of real zeros.

7. GEOMETRY Recall the formula for finding the area of a rectangle. Define a variable for the width and set up an equation to find the dimensions of a rectangle that has an area 144 square inches, given that the length is 10 inches longer than its width.

DIMENSIONS:

Length: Width:

8. The amount f(t) of a certain medicine, in milligrams, in a patient’s bloodstream t minutes after being taken is given by f(t) = .

Find the amount of medicine in the blood after 20 minutes.

9. Graph f(x) = x2 + 2x – 3, label the function’s x-intercepts, y-intercept and vertex with their coordinates. Also draw in and label the axis of symmetry.

Image result for x y axis

10. Determine whether the relation shown is a function. Explain how you know.

Don't use plagiarized sources. Get Your Custom Essay on

Algebra 2 midterm

Just from $13/Page

73-1.jpg

11. Solve the inequality and graph the solution on a number line.

–3(5y – 4) ≥ 17

12. Assume that the wooden triangle shown is a right triangle.

a. Write an equation using the Pythagorean Theorem and the measurements provided in the diagram.

Hint: (leg 1)2 + (leg 2)2 = (hypotenuse)2

b. Transform each side of the equation to determine if it is an identity.

13. Use long division or synthetic division to find the quotient of .

14. Simplify (9 + 8 – 6)(4 – 5).

15. Find the inverse of h(x) = .

16. If f(x) = 2x – 1 and g(x) = – 2, find [g ◦ f](x).

17. Graph the function y = – 2. Then state the domain and range of the function.

Domain:

Range:

18. If f(x) = 3×2 – 2 and g(x) = 4x + 2, what is the value of f + g 2 ?

The price of a sweatshirt at a local shop is twice the price of a pair of shorts. The price of a T-shirt at the shop is $4 less than the price of a pair of shorts. Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for a total cost of $136.

19. Let w represent the price of one sweatshirt, t represent the price of one T-shirt, and h represent the price of one pair of shorts. Write a system of three equations that represents the prices of the clothing.

20. Solve the system. Find the cost of each item.

The price is based on these factors:

Academic level

Number of pages

Urgency

Basic features

- Free title page and bibliography
- Unlimited revisions
- Plagiarism-free guarantee
- Money-back guarantee
- 24/7 support

On-demand options

- Writer’s samples
- Part-by-part delivery
- Overnight delivery
- Copies of used sources
- Expert Proofreading

Paper format

- 275 words per page
- 12 pt Arial/Times New Roman
- Double line spacing
- Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Delivering a high-quality product at a reasonable price is not enough anymore.

That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more
## Recent Comments